Abstract
The present paper aims to deal with a new iterative method to find a common solution of a generalized equilibrium problem, a variational inequality problem and a hierarchical fixed point problem for a sequence of nearly nonexpansive mappings. It is proved that the proposed method converges strongly to a common solution of above problems under some assumptions. The results here improve and extend some recent corresponding results by many other authors.
Keywords
Mathematics
Variational inequality
Fixed point
Sequence (biology)
Iterative method
Mathematical optimization
Point (geometry)
Applied mathematics
Mathematical analysis
Subject Areas
Optimization and Variational Analysis
·Computational Theory and Mathematics ·Physical Sciences
Advanced Optimization Algorithms Research
·Numerical Analysis ·Physical Sciences
Fixed Point Theorems Analysis
·Geometry and Topology ·Physical Sciences
Citations by Year
2016: 2
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Reduced inequalities 50%
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